Finite Group Databasebeta

#44439797

order29312
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C24

Aliases

No aliases for this group.

Subgroups

subgroupG/H
center?
commutator?
Frattini?
hypercenter?
hypocenter?
LCS?
UCS?

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^7,229|a^2=f,d^2=e,f^2=g,b^a=be,c^a=cg,d^a=de,h^a=h^122,c^b=ceg,d^b=dg,h^b=h^228,h^c=h^228,h^d=h^228,h^f=h^228

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29312, 21468);